Write an explicit formula for the sequence -3, 1, 5, 9 ... i think the answer is a_n=-3+4(n-1) i just need someone to double che
1 answer:
Answer:
you are correct
Step-by-step explanation:
The sequence has a common difference between consecutive terms
d = 9 - 5 = 5 - 1 = 1 - (- 3) = 4
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 4, thus
= - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7
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is $6 per magazine and 6 is a multiple of 3, so that's a possibility.<span />
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Step-by-step explanation:
The given is,
Initial investment - $5000
Future amount - $6000
Interest rate - 7.5% (compounded quarterly)
Step:1
Formula to calculate the Future amount with compound interest,
...................................(1)
Where, F - Future amount
P - Initial amount
r - Rate of interest
n - No. of compounding in a year
t - Time period
From given,
F = $6000
P = $5000
r = 7.5%
n = 4 (compounded quarterly)
Equation (1) becomes,
Take log on both sides,
Substitute log values,
0.07918 = 4(t) (0.0080676)
= (t) (0.0322705)
= 2.45
t ≅ 2.5 years
Result:
2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.